Continuous Flow Models Can Be Simulated as Quantum Dynamics
David Layden, a staff research scientist at IBM Research, argues that trained continuous flow models can be recast as quantum simulation problems rather than merely classical samplers. In his account, the velocity field learned by a flow or diffusion-style model defines a Schrödinger equation whose solution is a quantum state encoding the model’s learned distribution. The result leaves training classical and theoretical, but claims that future quantum computers could provide coherent access to those distributions for downstream tasks such as Monte Carlo estimation, not just ordinary sampling.
Microsoft Research·May 26, 2026·17 min read